Solution of internal erosion equations by asymptotic expansion

Autor: Dubujet P., Parron Vera M.A., Khamlichi A., Bezzazi M., Yakhlef F.
Jazyk: English<br />French
Rok vydání: 2012
Předmět:
Zdroj: MATEC Web of Conferences, Vol 1, p 10007 (2012)
Druh dokumentu: article
ISSN: 2261-236X
DOI: 10.1051/matecconf/20120110007
Popis: One dimensional coupled soil internal erosion and consolidation equations are considered in this work for the special case of well determined sand and clay mixtures with a small proportion of clay phase. An enhanced modelling of the effect of erosion on elastic soil behavior was introduced through damage mechanics concepts. A modified erosion law was proposed. The erosion phenomenon taking place inside the soil was shown to act like a perturbation affecting the classical soil consolidation equation. This interpretation has enabled considering an asymptotic expansion of the coupled erosion consolidation equations in terms of a perturbation parameter linked to the maximum expected internal erosion. A robust analytical solution was obtained via direct integration of equations at order zero and an adequate finite difference scheme that was applied at order one.
Databáze: Directory of Open Access Journals